4 ms·
I love 3B1B, but it's a little disingenuous to attribute small integer ratios being are consonant to our brains/taste because of the simple polyrhythms. Our bra
by diiq 6y ago
I love 3B1B, but it's a little disingenuous to attribute small integer ratios being are consonant to our brains/taste because of the simple polyrhythms. Our brains never receive the waveforms in that way; the ear performs a mechanical fourier transform, first. Small integer ratios mean many harmonics overlap, so the frequency-space signal from the ears is also relatively simple. The simpler the picture in freq-space, the more consonant (not necessarily more beautiful or pleasant, but specifically consonant)
Unfortunately, that reality is a very poor setup for the math he wants to demonstrate -- he needs to imagine someone for whom all ratios are consonant to motivate the measure theory question. So I'm not sure music was the best road to the goal.